Differentiable dynamical systems

1. R. Abraham and J. Marsden, Foundations of mechanics, Benjamin, New York, 1967.

Zentralblatt MATH: 0158.42901

2. R. Abraham and J. Robbin, Transversal mappings and flows, Benjamin, New York, 1967.

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Mathematical Reviews (MathSciNet): MR240836

3. R. L. Adler, A. G. Konheim and M. H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114 (1965), 309-319.

Zentralblatt MATH: 0127.13102

Mathematical Reviews (MathSciNet): MR175106

Digital Object Identifier: doi:10.1090/S0002-9947-1965-0175106-9

4. R. L. Adler and M. H. McAndrew, The entropy of Chebyshev polynomials, Trans Amer. Math. Soc. 121 (1966), 236-241.

Zentralblatt MATH: 0141.20506

Mathematical Reviews (MathSciNet): MR189005

Digital Object Identifier: doi:10.1090/S0002-9947-1966-0189005-0

5. R. L. Adler and R. Palais, Homeomorphic-conjugacy of automorphisms on the torus, Proc. Amer. Math. Soc. 16 (1965), 1222-1225.

Zentralblatt MATH: 0229.22013

Mathematical Reviews (MathSciNet): MR193181

Digital Object Identifier: doi:10.1090/S0002-9939-1965-0193181-8

6. A. Andronov and L. Pontryagin, Systèmes grossiers, Dokl. Akad. Nauk. SSSR 14 (1937), 247-251.

Zentralblatt MATH: 0016.11301

7. D. V. Anosov, Roughness of geodesic flows on compact Riemannian manifolds of negative curvature, Soviet Math. Dokl. 3 (1962), 1068-1070.

Zentralblatt MATH: 0135.40401

Mathematical Reviews (MathSciNet): MR143156

8. D. V. Anosov, Ergodic properties of geodesic flows on closed Riemannian manifolds of negative curvature, Soviet Math. Dokl. 4 (1963), 1153-1156.

Zentralblatt MATH: 0135.40402

Mathematical Reviews (MathSciNet): MR163258

9. D. V. Anosov, Geodesic flows on compact Riemannian manifolds of negative curvature, Trudy Mat. Inst. Steklov. 90 (1967) = Proc. Steklov Math. Inst. (to appear).

Zentralblatt MATH: 0176.19101

Mathematical Reviews (MathSciNet): MR224110

10. V. I. Arnold, Proof of a theorem of A. N. Kolmogorov on the invariance of quasiperiodic motions under small perturbations of the Hamiltonian, Russian Math. Surveys 18 (1963), 9-36.

Zentralblatt MATH: 0129.16606

Mathematical Reviews (MathSciNet): MR163025

11. V. I. Arnold and A. Avez, Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris, 1966.

Zentralblatt MATH: 0149.21704

Mathematical Reviews (MathSciNet): MR209436

12. E. Artin and B. Mazur, On periodic points, Ann. of Math. (2) 81 (1965), 82-99.

Zentralblatt MATH: 0127.13401

Mathematical Reviews (MathSciNet): MR176482

Digital Object Identifier: doi:10.2307/1970384

12a. L. Auslander, L. Green, F. Hahn et al., Flows on homogeneous spaces, Princeton Univ. Press, Princeton, N. J., 1963.

Zentralblatt MATH: 0144.44701

Mathematical Reviews (MathSciNet): MR167569

13. A. Avez, Ergodic theory of dynamical systems, Vols. I, II, Univ. of Minneapolis, Minnesota, 1966, 1967.

14. P. Billingsley, Ergodic theory and information, Wiley, New York, 1965.

Zentralblatt MATH: 0141.16702

Mathematical Reviews (MathSciNet): MR192027

15. G. D. Birkhoff, Dynamical systems, Amer. Math. Soc. Colloq. Publ., vol. 9, Amer. Math Soc., Providence, R. I., 1927.

16. G. D. Birkhoff, Surface transformations and their dynamical applications, Acta Math.43 (1920), 1-119.

Mathematical Reviews (MathSciNet): MR1555175

Digital Object Identifier: doi:10.1007/BF02401754

17. G. D. Birkhoff, On the periodic motions of dynamical systems, Acta Math. So. (1927), 359-379. (See also Birkhoff's Collected Works.)

Mathematical Reviews (MathSciNet): MR1555257

Digital Object Identifier: doi:10.1007/BF02421325

18. G. D. Birkhoff, Nouvelles recherches sur les systèmes dynamique, Mém. Pont. Acad. Sci. Novi Lyncaei 1 (1935), 85-216.

Zentralblatt MATH: 0016.23401

19. G. D. Birkhoff, Dynamical systems with two degrees of freedom, Trans. Amer. Math. Soc. 18 (1917), 199-300.

Mathematical Reviews (MathSciNet): MR1501070

Digital Object Identifier: doi:10.1090/S0002-9947-1917-1501070-3

20. A. Borel, et al., Seminar on transformation groups, Princeton Univ. Press, Princeton, N. J., 1960.

Zentralblatt MATH: 0091.37202

Mathematical Reviews (MathSciNet): MR116341

21. R. Bott, Homogeneous vector bundles, Ann. of Math. (2) 66 (1957), 203-248.

Zentralblatt MATH: 0094.35701

Mathematical Reviews (MathSciNet): MR89473

Digital Object Identifier: doi:10.2307/1969996

22. W. Boyce, Commuting functions with no common fixed point, Abstract 67T-218, Notices Amer. Math. Soc. 14 (1967), 280.

Zentralblatt MATH: 0175.34501

Mathematical Reviews (MathSciNet): MR2616623

23. H. Cartan, Seminaire H. Cartan espaces fibrés et homotopie, Mimeographed, Paris, 1949-50.

24. E. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955.

Zentralblatt MATH: 0064.33002

Mathematical Reviews (MathSciNet): MR69338

25. J. Dieudonné, Foundations of modern analysis, Academic Press, New York, 1960.

Zentralblatt MATH: 0100.04201

Mathematical Reviews (MathSciNet): MR120319

26. A. Dold, Fixed point index and fixed point theorem for Euclidean neighborhood retracts, Topology 4 (1965), 1-8.

Zentralblatt MATH: 0135.23101

Mathematical Reviews (MathSciNet): MR193634

Digital Object Identifier: doi:10.1016/0040-9383(65)90044-3

27. E. Dynkin, The maximal subgroups of the classical groups, Amer. Math. Soc. Transl. (2) 6 (1957), 245-379.

Zentralblatt MATH: 0077.03403

28. R. Ellis, Distal transformation groups, Pacific J. Math. 8 (1958), 401-405.

Zentralblatt MATH: 0092.39702

Mathematical Reviews (MathSciNet): MR101283

Project Euclid: euclid.pjm/1103039885

29. R. Ellis, The construction of minimal discrete flows, Amer. J. Math. 87 (1965), 564-574.

Zentralblatt MATH: 0129.38704

Mathematical Reviews (MathSciNet): MR185589

Digital Object Identifier: doi:10.2307/2373063

30. L. E. Elsgolts, An estimate for the number of singular points of a dynamical system defined on a manifold, Amer. Math. Soc. Transl. (1) 5 (1962), 498-510 (originally 68 (1952)).

Mathematical Reviews (MathSciNet): MR47263

Digital Object Identifier: doi: --- Either first page or author must be supplied.

31. F. B. Fuller, The existence of periodic points, Ann. of Math. (2) 57 (1953), 229-230.

Zentralblatt MATH: 0050.17203

Mathematical Reviews (MathSciNet): MR52764

Digital Object Identifier: doi:10.2307/1969856

32. F. B. Fuller, An index of fixed point type for periodic orbits, Amer. J. Math. 89 (1967), 133-148.

Zentralblatt MATH: 0152.40204

Mathematical Reviews (MathSciNet): MR209600

Digital Object Identifier: doi:10.2307/2373103

33. H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477-515.

Zentralblatt MATH: 0199.27202

Mathematical Reviews (MathSciNet): MR157368

Digital Object Identifier: doi:10.2307/2373137

34. I. M. Gelfand and S. V. Fomin, Geodesic flows on manifolds of constant negative curvature, Amer. Math. Soc. Transl. (2) 1 (1955), 49-66.

Zentralblatt MATH: 0066.36101

Mathematical Reviews (MathSciNet): MR73959

35. W. H. Gottschalk, Minimal sets: An introduction to topological dynamics, Bull. Amer. Math. Soc. 64 (1958), 336-351.

Zentralblatt MATH: 0085.17401

Mathematical Reviews (MathSciNet): MR100048

Digital Object Identifier: doi:10.1090/S0002-9904-1958-10223-2

Project Euclid: euclid.bams/1183522841

35a. W. H. Gottschalk and G. A. Hedlund, Topological dynamics, Amer. Math. Soc. Colloq. Publ., vol. 36, Amer. Math. Soc., Providence, R. I., 1955.

Zentralblatt MATH: 0067.15204

Mathematical Reviews (MathSciNet): MR74810

36. E. Grosswald, Topics from the theory of numbers, Macmillan, New York, 1966.

Zentralblatt MATH: 0158.29501

Mathematical Reviews (MathSciNet): MR228408

37. V. Guillemin and S. Sternberg, On a conjecture of Palais and Smale, Trans. Amer. Math. Soc. (to appear).

38. B. Halpern, Fixed points for iterates, (to appear).

Zentralblatt MATH: 0157.30201

Mathematical Reviews (MathSciNet): MR256383

Project Euclid: euclid.pjm/1102986268

39. P. Hartman, Ordinary differential equations, Wiley, New York, 1964.

Zentralblatt MATH: 0125.32102

Mathematical Reviews (MathSciNet): MR171038

40. J. Hadamard, Les surfaces à courbures opposées e leur lignes géodèsiques, J. Math. Pures Appl. 4 (1898), 27-73.

41. A. Haefliger, Variétés feuilletées, Ann. Scuola Norm. Sup. Pisa (3) 16 (1962), 367-397.

Zentralblatt MATH: 0122.40702

Mathematical Reviews (MathSciNet): MR189060

42. G. Hedlund, The dynamics of geodesic flows, Bull. Amer. Math. Soc. 45 (1939), 241-246.

Mathematical Reviews (MathSciNet): MR1563961

Digital Object Identifier: doi:10.1090/S0002-9904-1939-06945-0

Project Euclid: euclid.bams/1183501760

43. R. Hermann, Lie groups for physicists, Benjamin, New York, 1966.

Zentralblatt MATH: 0135.06901

Mathematical Reviews (MathSciNet): MR213463

44. R. Hermann, The formal linearization of a semisimple Lie algebra of vector fields about a singular point, Trans. Amer. Math. Soc. (to appear).

Zentralblatt MATH: 0155.05604

Mathematical Reviews (MathSciNet): MR217225

Digital Object Identifier: doi:10.1090/S0002-9947-1968-0217225-7

45. E. Hopf, Ergodic theory, Springer, Berlin, 1937.

46. E. Hopf, Statistik der geodätischen Linien in Mannigfaltigkeiten negativer Krümmung, Ber. Verh. Sächs. Akad. Wiss. Leipzig 91 (1939), 261-304.

Zentralblatt MATH: 0024.08003

Mathematical Reviews (MathSciNet): MR1464

47. W. Y. Hsiang, Remarks on differentiable actions of noncompact semi-simple Lie groups on Euclidean spaces, Amer. J. Math. (to appear).

Zentralblatt MATH: 0187.45102

Mathematical Reviews (MathSciNet): MR193640

Digital Object Identifier: doi:10.2307/2373051

48. W. C. Hsiang, and W. Y. Hsiang, Differentiable actions of compact connected classical groups, Amer. J. Math. (to appear).

Zentralblatt MATH: 0184.27204

Mathematical Reviews (MathSciNet): MR253367

Digital Object Identifier: doi:10.2307/2373483

49. J. P. Huneke, Two counterexamples to a conjecture on commuting continuous functions of the closed unit interval, Abstract 67T-231, Notices Amer. Math. Soc. 14 (1967), 284.

50. G. Julia, Mémoire sur l'iteration des fonctions rationnelles, J. Math. Pures Appl. 4 (1918), 47-245.

51. S. Kobayashi and J. Eells, Problems in differential geometry, Proc. Japan-United States Seminar in Differential Geometry, Kyoto, Japan 1965, Nippon Hyoransha, Tokyo, 1966, pp. 167-177.

52. A. N. Kolmogoroff, On conservation of conditionally periodic motions for a small charge in Hamilton's function, Dokl. Akad. Nauk SSSR 98 (1954), 527-530. (Russian)

Mathematical Reviews (MathSciNet): MR68687

53. N. Kopell, Thesis, Univ. of California, Berkeley, 1967.

54. B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. (2) 74 (1961), 329-387.

Zentralblatt MATH: 0134.03501

Mathematical Reviews (MathSciNet): MR142696

Digital Object Identifier: doi:10.2307/1970237

55. I. Kupka, Contribution à la théorie des champs génériques, Contributions to Differential Equations 2 (1963), 457-484.

Zentralblatt MATH: 0149.41002

Mathematical Reviews (MathSciNet): MR165536

56. S. Lang, Introduction to differentiable manifolds, Wiley, New York, 1962.

Zentralblatt MATH: 0103.15101

Mathematical Reviews (MathSciNet): MR155257

57. S. Lefschetz, Differential equations: Geometric theory, Interscience, New York, 1957.

Zentralblatt MATH: 0080.06401

Mathematical Reviews (MathSciNet): MR153903

58. N. Levinson, A second order differential equation with singular solutions, Ann. of Math. (2) 50 (1949), 127-153.

Zentralblatt MATH: 0045.36501

Mathematical Reviews (MathSciNet): MR30079

Digital Object Identifier: doi:10.2307/1969357

59. E. Lima, Commuting vector fields on S³, Ann. of Math. (2) 81 (1965), 70-81.

Zentralblatt MATH: 0137.17801

Mathematical Reviews (MathSciNet): MR171286

Digital Object Identifier: doi:10.2307/1970383

60. E. Lima, Common singularities of commuting vector fields on 2-manifolds, Comment. Math. Helv. 39 (1964), 97-110.

Zentralblatt MATH: 0124.16101

Mathematical Reviews (MathSciNet): MR176459

Digital Object Identifier: doi:10.1007/BF02566947

61. A. Malcev, On a class of homogeneous spaces, Amer. Math. Soc. Transl. (1) 9 (1962), 276-307 (originally 39 (1951)).

Mathematical Reviews (MathSciNet): MR39734

62. L. Markus, Structurally stable differential systems, Ann. of Math. (2) 73 (1961), 1-19.

Zentralblatt MATH: 0131.31504

Mathematical Reviews (MathSciNet): MR132888

Digital Object Identifier: doi:10.2307/1970280

63. Y. Matsushima, On the discrete subgroups and homogeneous spaces of nilpotent Lie groups, Nagoya Math. J. 2 (1951), 95-110.

Zentralblatt MATH: 0045.31002

Mathematical Reviews (MathSciNet): MR41144

Project Euclid: euclid.nmj/1118764744

64. F. Mautner, Geodesic flows on symmetric Riemann spaces, Ann. of Math. (2) 65 (1957), 416-431.

Zentralblatt MATH: 0084.37503

Mathematical Reviews (MathSciNet): MR84823

Digital Object Identifier: doi:10.2307/1970054

65. K. Meyer, Energy functions for Morse-Smale systems, Amer. J. Math, (to appear).

Zentralblatt MATH: 0219.58004

Mathematical Reviews (MathSciNet): MR239220

Digital Object Identifier: doi:10.2307/2373287

66. D. Montgomery and L. Zippen, Topological transformation groups, Interscience, New York, 1955.

Zentralblatt MATH: 0068.01904

Mathematical Reviews (MathSciNet): MR84705

67. C. Moore, Distal affine transformation groups, Amer. J. Math (to appear).

Zentralblatt MATH: 0195.52604

Mathematical Reviews (MathSciNet): MR232887

Digital Object Identifier: doi:10.2307/2373481

68. M. Morse, The calculus of variations in the large, Amer. Math. Soc. Colloq. Publ., vol. 18, Amer. Math. Soc., Providence, R. I., 1934.

Zentralblatt MATH: 0011.02802

Mathematical Reviews (MathSciNet): MR1451874

69. M. Morse, A one to one representation of geodesics on a surface of negative curvature, Amer. J. Math. 43 (1921), 33-51.

Mathematical Reviews (MathSciNet): MR1506428

Digital Object Identifier: doi:10.2307/2370306

70. J. Moser, On invariant curves of area-preserving mappings of an annulus, Nachr. Akad. Wiss. Göttingen Math.-Phys. K1. II 1962, 1-20.

Zentralblatt MATH: 0107.29301

Mathematical Reviews (MathSciNet): MR147741

71. J. Moser, Perturbation theory for almost periodic solutions for undamped nonlinear differential equations, Internat. Sympos. Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, New York, 1963, pp. 71-79.

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Mathematical Reviews (MathSciNet): MR147740

72. G. D. Mostow, The extensibility of local Lie groups of transformations and groups on surfaces, Ann. of Math. (2) 52 (1950), 606-636.

Zentralblatt MATH: 0040.15204

Mathematical Reviews (MathSciNet): MR48464

Digital Object Identifier: doi:10.2307/1969437

73. J. Nash, Real algebraic manifolds, Ann. of Math. (2) 56 (1952), 405-421.

Zentralblatt MATH: 0048.38501

Mathematical Reviews (MathSciNet): MR50928

Digital Object Identifier: doi:10.2307/1969649

74. V. V. Nemytskii, Some modern problems in the qualitative theory of ordinary differential equations, Russian Math. Surveys 20 (1965), 1-35.

Zentralblatt MATH: 0151.11704

75. K. Nomizu, On the cohomology of compact homogeneous spaces of nilpotent Lie groups, Ann. of Math. (2) 59 (1954), 531-538.

Zentralblatt MATH: 0058.02202

Mathematical Reviews (MathSciNet): MR64057

Digital Object Identifier: doi:10.2307/1969716

76. S. P. Novikov, The topology summer Institute, Seattle 1963, Russian Math. Surveys 20 (1965), 145-167.

Zentralblatt MATH: 0125.39804

77. S. P. Novikov, Smooth foliations on three-dimensional manifolds, Russian Math. Surveys 19 (1964) No. 6, 79-81.

Zentralblatt MATH: 0135.41501

Mathematical Reviews (MathSciNet): MR173270

78. J. C. Oxtoby and S. M. Ulam, Measure-preserving homeomorphisms and metrical transitivity, Ann. of Math. (2) 42 (1941), 874-920.

Zentralblatt MATH: 0063.06074

Mathematical Reviews (MathSciNet): MR5803

Digital Object Identifier: doi:10.2307/1968772

79. R. S. Palais, On the existence of slices for actions of non-compact Lie groups, Ann. of Math. (2) 73 (1961), 295-323.

Zentralblatt MATH: 0103.01802

Mathematical Reviews (MathSciNet): MR126506

Digital Object Identifier: doi:10.2307/1970335

80. R. S. Palais, Equivalence of nearby differentiate actions of a compact group, Bull. Amer. Math. Soc. 67 (1961), 362-364.

Zentralblatt MATH: 0102.38101

Mathematical Reviews (MathSciNet): MR130321

Digital Object Identifier: doi:10.1090/S0002-9904-1961-10617-4

Project Euclid: euclid.bams/1183524251

81. R. S. Palais and T. Stewart, Deformations of compact differentiate transformation groups, Amer. J. Math. 82 (1960), 935-937.

Zentralblatt MATH: 0106.16401

Mathematical Reviews (MathSciNet): MR120652

Digital Object Identifier: doi:10.2307/2372950

82. J. Palis, Thesis, Univ. of California, Berkeley, 1967.

83. M. Peixoto, On structural stability, Ann. of Math. (2) 69 (1959), 199-222.

Zentralblatt MATH: 0084.08403

Mathematical Reviews (MathSciNet): MR101951

Digital Object Identifier: doi:10.2307/1970100

84. M. Peixoto, Structural stability on two-dimensional manifolds, Topology 1 (1962), 101-120.

Zentralblatt MATH: 0107.07103

Mathematical Reviews (MathSciNet): MR142859

Digital Object Identifier: doi:10.1016/0040-9383(65)90018-2

85. M. Peixoto, Symposium on Differential Equations and Dynamical Systems (Puerto Rico) Academic Press, New York, 1967.

Mathematical Reviews (MathSciNet): MR216908

86. M. Peixoto, On an approximation theorem of Kupka and Smale, J. Differential equations 3 (1967), 214-227.

Zentralblatt MATH: 0153.40901

Mathematical Reviews (MathSciNet): MR209602

Digital Object Identifier: doi:10.1016/0022-0396(67)90026-5

87. M. Peixoto and C. Pugh, Structurally stable systems on open manifolds are never dense, (to appear).

Zentralblatt MATH: 0172.24902

Mathematical Reviews (MathSciNet): MR224936

Digital Object Identifier: doi:10.2307/1970713

88. O. Perron, Die stabilitatsfrage bei differentialgleichungen, Math. Z. 32 (1930), 703-728.

Mathematical Reviews (MathSciNet): MR1545194

Digital Object Identifier: doi:10.1007/BF01194662

89. H. Poincaré, Sur les courbes dèfinies par des équations différentielles, J. Math. 4° serie 1885.

90. H. Poincaré, Les méthodes nouvelles de la mécanique céleste, Vols. I, II, III, Paris, 1892, 1893, 1899; reprint, Dover, New York, 1957.

91. C. Pugh, The closing lemma, Amer. J. Math. (to appear)

Zentralblatt MATH: 0167.21803

Mathematical Reviews (MathSciNet): MR226669

Digital Object Identifier: doi:10.2307/2373413

92. C. Pugh, An improved closing lemma and a general density theorem, Amer. J. Math. (to appear).

Zentralblatt MATH: 0167.21804

Mathematical Reviews (MathSciNet): MR226670

Digital Object Identifier: doi:10.2307/2373414

93. C. Pugh, The closing lemma for Hamiltonian systems, Proc. Internat. Congress Math. at Moscow, 1966.

Zentralblatt MATH: 0167.21803

Mathematical Reviews (MathSciNet): MR226669

Digital Object Identifier: doi:10.2307/2373413

94. G. Reeb, Sur certaines propriétés topologiques des trajectoires des systemes dynamiques, Acad. Roy. Belg. Cl. Sci. Mem. Coll. 8° 27 (1952), no. 9.

Zentralblatt MATH: 0048.32903

Mathematical Reviews (MathSciNet): MR58202

95. L. Reizinš, On systems of differential equations satisfying Smales conditions, Latvijas PSR Zinatnu Akad. Vestis Fiz. Tehn. Zinatnu Ser. 1964, 57-61. (Russian)

Mathematical Reviews (MathSciNet): MR212312

96. F. Riesz, and B. Nagy, Functional analysis, Ungar, New York, 1955.

97. H. Rosenberg, A generalization of Morse-Smale inequalities, Bull. Amer. Math. Soc. 70 (1964), 422-427.

Zentralblatt MATH: 0123.29404

Mathematical Reviews (MathSciNet): MR160247

Digital Object Identifier: doi:10.1090/S0002-9904-1964-11126-5

Project Euclid: euclid.bams/1183526028

98. H. Rosenberg, Actions of Rⁿ on manifolds, Comment. Math. Helv. 41 (1966-67), 170-178.

Zentralblatt MATH: 0145.20301

Mathematical Reviews (MathSciNet): MR206978

Digital Object Identifier: doi:10.1007/BF02566874

99. R. Sacksteder, Foliations and pseudo-groups, Amer. J. Math. 87 (1965), 79-102.

Zentralblatt MATH: 0136.20903

100. R. Sacksteder, Degeneracy of orbits of actions of Rn on a manifold, Comment. Math. Helv. 41 (1966-67), 1-9.

Zentralblatt MATH: 0168.20901

Mathematical Reviews (MathSciNet): MR212835

Digital Object Identifier: doi:10.1007/BF02566864

101. O. F. G. Shilling, Arithmetical algebraic geometry, Harper and Row, New York, 1956.

Zentralblatt MATH: 0213.00103

102. A. J. Schwartz, A generalization of a Poincaré-Bendixon theorem to closed two-dimensional manifolds, Amer. J. Math. 85 (1963), 453-458.

Zentralblatt MATH: 0116.06803

Mathematical Reviews (MathSciNet): MR155061

103. A. J. Schwartz, Common periodic points of commuting functions, Michigan Math. J.12 (1965), 353-355.

Zentralblatt MATH: 0144.30402

Mathematical Reviews (MathSciNet): MR181996

Digital Object Identifier: doi:10.1307/mmj/1028999371

Project Euclid: euclid.mmj/1028999371

104. A. Schwartz, Vector fields on a solid torus (to appear).

105. H. Seifert, Closed integral curves in 3-space and isotopic two-dimensional deformations, Proc. Amer. Math. Soc. 1 (1950), 287-302.

Zentralblatt MATH: 0039.40002

Mathematical Reviews (MathSciNet): MR37508

106. A. Selberg, Harmonic-analysis and discontinuous groups in weakly symmetric Riemann spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956), 47-87.

Zentralblatt MATH: 0072.08201

Mathematical Reviews (MathSciNet): MR88511

107. L. P. Shil'nikov, The existence of an enumerable set of periodic motions in the neighborhood of a homoclinic curve, Dokl. Akad. Nauk SSSR 172 (1967), 298-301 = Soviet Math. Dokl. 8 (1967), 102-106.

Zentralblatt MATH: 0162.12702

Mathematical Reviews (MathSciNet): MR209603

108. M. Shub, Thesis, Univ. of California, Berkeley, 1967.

109. S. Smale, Morse inequalities for a dynamical system, Bull. Amer. Math. Soc.66 (1960), 43-49.

Zentralblatt MATH: 0100.29701

Mathematical Reviews (MathSciNet): MR117745

Digital Object Identifier: doi:10.1090/S0002-9904-1960-10386-2

Project Euclid: euclid.bams/1183523416

110. S. Smale, On gradient dynamical systems, Ann. of Math. (2) 74 (1961), 199-206.

Zentralblatt MATH: 0136.43702

Mathematical Reviews (MathSciNet): MR133139

Digital Object Identifier: doi:10.2307/1970311

111. S. Smale, On dynamical systems, Bol. Soc. Mat. Mexicana (2) 5 (1960), 195-198.

Zentralblatt MATH: 0121.17906

Mathematical Reviews (MathSciNet): MR141855

112. S. Smale, Dynamical systems and the topological conjugacy problem for diffeomorphisms, Proc. Internat. Congress Math. (Stockholm, 1962), Inst. Mittag-Leffler, Djursholm, 1963, pp. 490-496.

Zentralblatt MATH: 0202.55401

Mathematical Reviews (MathSciNet): MR176487

113. S. Smale, A structurally stable differentiate homeomorphism with an infinite number of periodic points, Proc. Internat. Sympos. Non-linear Vibrations, vol. II, 1961, Izdat. Akad. Nauk Ukrain SSR, Kiev, 1963.

Zentralblatt MATH: 0125.11601

Mathematical Reviews (MathSciNet): MR160220

114. S. Smale, Stable manifolds for differential equations and diffeomorphisms, Ann. Scuola Norm. Sup. Pisa (3) 17 (1963), 97-116.

Zentralblatt MATH: 0113.29702

Mathematical Reviews (MathSciNet): MR165537

115. S. Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology, Princeton Univ. Press, Princeton, N. J., 1965, pp. 63-80.

Zentralblatt MATH: 0142.41103

Mathematical Reviews (MathSciNet): MR182020

116. S. Smale, Structurally stable systems are not dense, Amer. J. Math. 88 (1966), 491-496.

Zentralblatt MATH: 0149.20001

Mathematical Reviews (MathSciNet): MR196725

Digital Object Identifier: doi:10.2307/2373203

117. S. Smale, Dynamical systems on n-dimensional manifolds, Symposium on differential equations and dynamical systems (Puerto Rico) Academic Press, New York, 1967.

Zentralblatt MATH: 0183.09802

118. J. Sotomayor, Generic one-parameter families of vector fields on two-dimensional manifolds (to appear).

Zentralblatt MATH: 0279.58008

Mathematical Reviews (MathSciNet): MR339279

Digital Object Identifier: doi:10.1007/BF02684365

119. P. R. Stein and S. M. Ulam, Non-linear transformations studies on electronic computers, Rozprawy Mat. 39 (1964).

Zentralblatt MATH: 0143.18801

Mathematical Reviews (MathSciNet): MR169416

120. S. Sternberg, Local contractions and a theorem of Poincaré, Amer. J. Math.79 (1957), 787-789.

Zentralblatt MATH: 0079.38902

Mathematical Reviews (MathSciNet): MR96853

Digital Object Identifier: doi:10.2307/2372437

121. S. Sternberg, On the structure of local homeomorphisms of Euclidean n-space. II, Amer. J. Math. 80 (1958), 623-631.

Zentralblatt MATH: 0083.31406

Mathematical Reviews (MathSciNet): MR96854

Digital Object Identifier: doi:10.2307/2372774

122. S. Sternberg, The structure of local homeomorphisms, III, Amer. J. Math. 81 (1959), 578-604.

Zentralblatt MATH: 0211.56304

Mathematical Reviews (MathSciNet): MR109853

Digital Object Identifier: doi:10.2307/2372915

123. S. Sternberg, Lectures on differential geometry, Prentice-Hall, Englewood Cliffs, N. J., 1964.

Zentralblatt MATH: 0129.13102

Mathematical Reviews (MathSciNet): MR193578

124. R. Thorn, Sur une partition en cellules associés à unefunction sur une variété, C. R. Acad. Sci. Paris 228 (1949), 973-975.

Zentralblatt MATH: 0034.20802

Mathematical Reviews (MathSciNet): MR29160

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126. A. Weil, On discrete subgroups of Lie groups, II, Ann. of Math. (2) 75 (1962), 578-602.

Zentralblatt MATH: 0131.26602

Mathematical Reviews (MathSciNet): MR137793

Digital Object Identifier: doi:10.2307/1970212

127. R. Williams, One dimensional non-wandering sets (to appear).

Zentralblatt MATH: 0159.53702

Mathematical Reviews (MathSciNet): MR217808

Digital Object Identifier: doi:10.1016/0040-9383(67)90005-5

Differentiable dynamical systems

References

Bulletin of the American Mathematical Society